Application of the Johnson-Cook plasticity model in the finite element simulations of the nanoindentation of the cortical bone
| Autor: | Jean-Louis Milan, Martine Pithioux, Djamel Remache, Marie Semaan, Jean-Marie Rossi |
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| Přispěvatelé: | Institut des Sciences du Mouvement Etienne Jules Marey (ISM), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), QUICKMOLD project, Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU) |
| Rok vydání: | 2020 |
| Předmět: |
Materials science
Finite Element Analysis Constitutive equation Biomedical Engineering 02 engineering and technology Plasticity Nanoindentation test Biomaterials [SPI]Engineering Sciences [physics] 03 medical and health sciences 0302 clinical medicine Hardness Cortical Bone medicine Animals Nanotechnology Composite material ComputingMilieux_MISCELLANEOUS Mechanical Phenomena Johnson-Cook model Sheep Viscoplasticity Inverse optimization approach 030206 dentistry Nanoindentation Strain hardening exponent 021001 nanoscience & nanotechnology Design of experiments (DOE) Finite element method Biomechanical Phenomena medicine.anatomical_structure Mechanical cortical bone behavior Mechanics of Materials Hardening (metallurgy) Cortical bone 0210 nano-technology |
| Zdroj: | Journal of the mechanical behavior of biomedical materials Journal of the mechanical behavior of biomedical materials, 2020, 101, pp.103426. ⟨10.1016/j.jmbbm.2019.103426⟩ Journal of the mechanical behavior of biomedical materials, Elsevier, 2020, 101, pp.103426. ⟨10.1016/j.jmbbm.2019.103426⟩ |
| ISSN: | 1751-6161 1878-0180 |
| DOI: | 10.1016/j.jmbbm.2019.103426 |
| Popis: | International audience; The mechanical behavior of the cortical bone in nanoindentation is a complicated mechanical problem. The finite element analysis has commonly been assumed to be the most appropriate approach to this issue. One significant problem in nanoindentation modeling of the elastic-plastic materials is pileup deformation, which is not observed in cortical bone nanoindentation testing. This phenomenon depends on the work-hardening of materials; it doesn't occur for work-hardening materials, which suggests that the cor-tical bone could be considered as a work-hardening material. Furthermore, in a recent study [59], a plastic hardening until failure was observed on the micro-scale of a dry ovine osteonal bone samples subjected to micropillar compression. The purpose of the current study was to apply an isotropic hardening model in the finite element simulations of the nanoindentation of the cortical bone to predict its mechanical behavior. The Johnson-Cook (JC) model was chosen as the constitutive model. The finite element modeling in combination with numerical optimization was used to identify the unknown material constants and then the finite element solutions were compared to the experimental results. A good agreement of the numerical curves with the target loading curves was found and no pileup was predicted. A Design Of Experiments (DOE) approach was performed to evaluate the linear effects of the material constants on the mechanical response of the material. The strain hardening modulus and the strain hardening exponent were the most influential parameters. While a positive effect was noticed with the Young's modulus, the initial yield stress and the strain hardening modulus, an opposite 1 effect was found with the Poisson's ratio and the strain hardening exponent. Finally, the JC model showed a good capability to describe the elastoplastic behavior of the cortical bone. |
| Databáze: | OpenAIRE |
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